If you are hoping to easily assimilate into the life of an Emirati, then one of the best things you can do is head to the nearest mall and get yourself into some Emirati clothes. Whether this means that you purchase a Kandura or Abaya, it is one of the best ways to join the masses when you are spending time outside the resort.
Something to keep in mind as well is that Abu Dhabi is not as liberal as Dubai, so it is strongly recommended that you wear modest clothing that covers your shoulders and knees, regardless of gender, when outside of the resorts at the very least.